From 159c7a3a26c061bbc32f774f45203e8f3736469a Mon Sep 17 00:00:00 2001 From: Benda Xu Date: Sun, 28 Jul 2024 13:17:57 +0800 Subject: [PATCH] =?UTF-8?q?pf:=20=E8=B0=83=E6=95=B4=E6=8A=A5=E5=91=8A?= =?UTF-8?q?=E7=9A=84=E9=A1=BA=E5=BA=8F=E3=80=82?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- pd.org | 87 +++++++++++++++++++++++++++------------------------------- 1 file changed, 41 insertions(+), 46 deletions(-) diff --git a/pd.org b/pd.org index 4e38212..ab298e0 100644 --- a/pd.org +++ b/pd.org @@ -12273,7 +12273,7 @@ Number of Fisher Scoring iterations: 5 :EXPORT_BEAMER_THEME: Hannover :EXPORT_BEAMER_FONT_THEME: professionalfonts :END: -** 复习 +** 复习与提示 *** 广义线性回归 1. 关系代数让回归分析变得极其直观,让我们专注于问题的本质 2. 模型的选择极其重要,应当使用客观标准 @@ -12282,6 +12282,31 @@ Number of Fisher Scoring iterations: 5 3. 广义线性回归,把误差分布从高斯替换为其它指数族分布 + 把连接函数从恒等替换为非线性函数 + 几乎可以解决所有日常工作中的非线性问题,惊喜! +*** 数据时代的物理技能 + [[./out/Data_Science_VD-migrate.pdf]] +*** 概率是逻辑的扩展 -- Cox 定理 + - Laplace: probability theory is nothing but common sense reduced to calculations. + - R. T. Cox, E. T. Jaynes,两位对统计学有重大贡献的物理学家 + - Logical interpretation of probability + 1. Divisibility and comparability -- The plausibility of a + proposition is a real number and is dependent on information + we have related to the proposition. + 2. Common sense -- Plausibilities should vary sensibly with the + assessment of plausibilities in the model. + 3. Consistency -- If the plausibility of a proposition can be + derived in many ways, all the results must be equal. + - 概率论的唯一性: + Any system for plausible reasoning that satisfies certain + qualitative requirements intended to ensure consistency with + classical deductive logic and correspondence with commonsense + reasoning is isomorphic to probability theory. + + #+latex: {\scriptsize + 参考:Van Horn, K.S., 2003. Constructing a logic of plausible + inference: a guide to Cox’s theorem. International Journal of + Approximate Reasoning 34, 3–24. + #+latex: } + ** 大作业安排 *** 大作业安排 **** l :BMCOL: @@ -12357,7 +12382,7 @@ https://git.tsinghua.edu.cn/physics-data/projects/tpl_junoprobe - 作业的目标是取得 JUNO 探测器泊松点过程的条件均值函数。 *** likelihood-free inference -- somewhat misleading +- "likelihood-free inference" somewhat misleading - 从一个没有 likelihood 的模型中,提炼出 likelihood。 ** 泊松点过程 *** 随机过程概念 @@ -12589,11 +12614,12 @@ C_N (s,t)= & \lambda \min(s,t) ** 机器学习 *** 可用 sklearn - - Debian - #+begin_src bash - apt install python3-sklearn-pandas - #+end_src +- Debian + #+begin_src bash + apt install python3-sklearn-pandas + #+end_src +- 下面的算法可以理解为无解析形式的函数逼近。 *** 支持向量机 #+begin_src ein-python :results output :session https://dpcg.g.airelinux.org/user/xubd/lecture-python.ipynb :exports both ### SVM regression @@ -12636,6 +12662,11 @@ C_N (s,t)= & \lambda \min(s,t) 自动进行解析微分。 +- PyTorch + #+begin_src bash +apt install python3-torch + #+end_src + + CPU 版本,GPU 版本在 WSL 之内不容易安装,建议申请科协服务器账号。 ** 概率编程 *** 概率编程 #+begin_export latex @@ -12645,8 +12676,10 @@ C_N (s,t)= & \lambda \min(s,t) #+end_export 把普通函数关系,自动换成随机变量之间的函数关系。 -**** 随机变量 -样本空间 \(S=\{e\}\) 的实单值 +**** 自动推理机 + + 利用第一阶段大作业成果,直接生成第二阶段大作业的解答程序 + + 语言为 Anglican ,为 Clojure 语言的一种 + + Clojure 语言是 Scheme 语言在 Java 平台上的实现 ** 总复习 *** 黑客技能 @@ -12737,39 +12770,7 @@ C_N (s,t)= & \lambda \min(s,t) #+end_src ** 下一步学习 -*** 数据时代的物理技能 - [[./out/Data_Science_VD-migrate.pdf]] -*** 概率是逻辑的扩展 -- Cox 定理 - - Laplace: probability theory is nothing but common sense reduced to calculations. - - R. T. Cox, E. T. Jaynes,两位对统计学有重大贡献的物理学家 - - Logical interpretation of probability - 1. Divisibility and comparability -- The plausibility of a - proposition is a real number and is dependent on information - we have related to the proposition. - 2. Common sense -- Plausibilities should vary sensibly with the - assessment of plausibilities in the model. - 3. Consistency -- If the plausibility of a proposition can be - derived in many ways, all the results must be equal. - - 概率论的唯一性: - Any system for plausible reasoning that satisfies certain - qualitative requirements intended to ensure consistency with - classical deductive logic and correspondence with commonsense - reasoning is isomorphic to probability theory. - - #+latex: {\scriptsize - 参考:Van Horn, K.S., 2003. Constructing a logic of plausible - inference: a guide to Cox’s theorem. International Journal of - Approximate Reasoning 34, 3–24. - #+latex: } - *** 以本课程为起点 - - 函数式编程:一切都是函数 - - 无状态,从而容易从错误中恢复 - - MapReduce:分布式大数据系统的开始 - - 在之上建立了关系代数: - - Apache Hive,SparkQL,etc. - - 机器学习:与回归分析有同样的程序接口 - - 算法上更一般,需要更多的“调参” **** 竞赛 - probe 大作业 \to Ghost Hunter 2024 中微子数据分析排位赛 - 概率统计分析及量测技术课赛结合 @@ -12805,12 +12806,6 @@ C_N (s,t)= & \lambda \min(s,t) + Structure and Interpretation of Classical Mechanics, MIT 本科课程 + 分析力学完成后,计划拓展至量子力学和电动力学 -#+beamer: \pause -- 自动推理机: - + 利用第一阶段大作业成果,直接生成第二阶段大作业的解答程序 - + 语言为 Anglican ,为 Clojure 语言的一种 - + Clojure 语言是 Scheme 语言在 Java 平台上的实现 - *** 致谢 #+attr_beamer: :overlay <+-> - 顾问 :: 陈晟祺、陈嘉杰